A deterministic growth process, based on the solution of the lattice Laplace equation for the temperature field, is introduced for modelling pattern formation in dendritic solidification. By a simple parameterisation of the physical and environmental conditions during crystal growth a wide variety of dendritic patterns, similar to regular snowflakes, are produced. The fractal scaling of the dendritic patterns is investigated.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)